Although the Portugal international has failed to replicate the form which he produced at his previous club Real Madrid, the frontman has still managed to score 53 goals in 76 appearances across all competitions.
With just two years left to run on his contract at Juve, it has been suggested that the Blues are willing to offer the 35-year-old attacker a chance to return to the Premier League.
The rumours came at a time when the Serie A champions are looking to raise funds amid coronavirus pandemic.
Chelsea boss Frank Lampard is said to be in the market to find replacements for Willian, Pedro and Michy Batshuayi.
Ajax’s Hakim Ziyech and RB Leipzig’s Timo Werner widely expected to arrive at Stamford Bridge in the coming weeks.